The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend. "Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle. "The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge." Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a. It would be cheaper to refuel the car and return it a day late.
b. It would be cheaper to return the car on time and pay the refueling costs.
c. It would cost about the same to return the car on time without gas or one day late with gas.
d. Tim is not responsible for refueling the car when he returns it.
How many squares are along the side of a chessboard?
A packaging plant uses a machine that can bottle 30 fluid ounces of shampoo in 12 seconds. How many fluid ounces of shampoo can be bottled per second?
A) 2/5 fluid ounces
B) 19 fluid ounces
C) 2 ½ fluid ounces
D) 360 fluid ounces
The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.
The diagram shows a trapezium ABCD in which BC parallel to AD
Answer:
if its the diagram i think then:
f = 6cm
g = 8cm
Step-by-step explanation:
square = 48cm²
triangle = 12cm²
24 / 4 = 6
AD = 6cm
So
BC = 6cm
CD = 48 / 6 = 8cm
CD = 8cm
f = 6cm
g = 8cm
In geometry, a quadrilateral with at least each pair of parallel sides is referred to as a trapezoid. Therefore, the length of BC is 6cm and the length of CD is 8cm.
What is trapezium?In geometry, a quadrilateral with at least each pair of parallel sides is referred to as a trapezoid both Canadian and American English, and perhaps a trapezium in British as well as other forms of English. In Euclidean geometry, a trapezoid is a convex quadrilateral by definition.
The bases of a trapezoid are the parallel sides. If the remaining two sides are parallel, they are referred to as the legs; if not, the trapezoid is indeed a parallelogram, with 2 sets of bases. A trapezoid without equal-sized sides is called a scalene trapezoid.
area of square = 48cm²
area of triangle = 12cm²
24 / 4 = 6
AD = 6cm
BC = 6cm
CD = 48 / 6 = 8cm
CD = 8cm
f = 6cm
g = 8cm
Therefore, the length of BC is 6cm and the length of CD is 8cm.
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Your question is incomplete but most probably your full question was,
The diagram shows a trapezium ABCD in which BC parallel to AD. What is the length of BC and CD.
Which fraction is equivalent to -7/8 ?
A )8/-7
B) 7/-8
C) -7/-8
D) 8/7
10 1/2 - 5 2/3 pleaseee
to make 12 muffins, Mr. J's recipe requires 3/4 of a cup of sugar. If Mr. J wants to make 96 muffins, how much sugar will he need?
If angle m 9 =119,what is the sum of the measures of angle 11 and 16
The measures of angles ∠11 and ∠16 are 119 and 119 respectively .
How to determine the values of the named anglesUsing the parameters given for our Calculation;
∠9 = 119°From the concept of corresponding angles ;
∠9 = ∠11 = 119° (corresponding angles are equal)For ∠16 ;
∠11 and ∠16 are vertically oppositeHence,
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you borrow $200 from a friend to help pay for the new laptop computer. You pay your friend $12 per week. Write and solve an inequality to find when you will owe tour friend less than $60.
You will owe your friend less than $60 if you pay them $12 per week for more than 11.67 weeks, which means you'll need to make payments for at least 12 full weeks.
Explanation:To solve the problem of when you will owe your friend less than $60, we need to set up and solve an inequality.
The amount owed after any number of weeks can be represented by the initial debt of $200 minus the total amount paid off, which is $12 times the number of weeks.
If we let x represent the number of weeks, the inequality we need to solve is 200 - 12x < 60.
To solve this inequality, we subtract 200 from both sides, getting -12x < -140.
Then, we divide both sides by -12, remembering to reverse the inequality sign because we are dividing by a negative number, which gives us x > 11.67.
Since we can't pay off part of a week, we would need to pay your friend for at least 12 full weeks to owe less than $60.
Final answer:
To find when you will owe less than $60, set up the inequality 200 - 12w < 60. After simplifying, we see that it will take just over 11.67 weeks, so you will owe less than $60 after making payments for 12 weeks.
Explanation:
To solve the problem at hand, we need to create an inequality to represent the situation where you will owe less than $60 to your friend. Let's denote the amount owed each week with w and the total amount owed with A. You start with an initial debt of $200, and each week you pay off $12. The inequality we are trying to establish is when the total amount owed will be less than $60.
The inequality will be in the form of A - 12w < 60, where A is the initial amount of $200 and w represents the number of weeks. Plugging in $200 for A, we get 200 - 12w < 60.
To solve for w, we'll perform the following steps:
Subtract $200 from both sides to isolate the variable term: -12w < -140.
Since we are dividing by a negative number, remember to flip the inequality sign: w > 140/12.
Simplify the fraction to get the minimum number of weeks: w > 11.67.
You will owe your friend less than $60 after roughly 12 weeks since fractions of a week don't apply in the context of a weekly payment schedule.
20 POINTS AND BRAINLIEST FOR CORRECT ANSWER
The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft. Find the pitch of the roof.
The pitch of a roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft is 0.53.
What is Slope?
The slope of line is a measure of its steepness.
Given that;
Vertical distance (rise) = 8 feet
Horizontal distance (running) = 15 feet
Now, To find the pitch (slope) of the roof, we would use the following formula:
Slope is the ratio of the vertical distance measured to the horizontal distance measured.
Hence, The pitch (slope) of a roof is given by the formula;
Pitch = V / R
Where:
V is the rising vertical distance of an object.
H is horizontal distance an object runs through.
Hence, Substituting the given parameters into the formula, we have;
Pitch = 8/15
= 0.53
Thus, Pitch (slope) = 0.53
So, The pitch of a roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft is 0.53.
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NEED HELP ASAP 30 POINTS WILL BE GIVEN TO BRAINLIEST
The coordinates of the vertices of △GHJ are G(−1, 3), H(1, 2), and J(−3, −1)
Drag and drop the choices into each box to correctly complete the sentences
been trying to solve this but just don't get it I keep getting it wrong on my homework
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]G(-1,3)\ H(1,2)\ J(-3,-1)[/tex]
Step 1
Find the slope GH
[tex]G(-1,3)\ H(1,2)[/tex]
substitute in the formula
[tex]m=\frac{2-3}{1+1}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]mGH=-\frac{1}{2}[/tex]
Step 2
Find the slope HJ
[tex]H(1,2)\ J(-3,-1)[/tex]
substitute in the formula
[tex]m=\frac{-1-2}{-3-1}[/tex]
[tex]m=\frac{-3}{-4}[/tex]
[tex]mHJ=\frac{3}{4}[/tex]
Step 3
Find the slope JG
[tex]J(-3,-1)\ G(-1,3)[/tex]
substitute in the formula
[tex]m=\frac{3+1}{-1+3}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]mJG=2[/tex]
Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
compare slope GH with slope JG
we have
[tex]mGH=-\frac{1}{2}[/tex]
[tex]mJG=2[/tex]
[tex]-\frac{1}{2}*2=-1[/tex] -----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Answer:
- 1/2, 3/4, 2, is, two of these slopes have a product of -1
Step-by-step explanation:
An airplane flies at a constant speed. It can travel a distance (
d. of 1,800 kilometer in 2 hours(t) Write an equation in the form is d=rt that represents the relationship between distance (
d. and time (t), where r is the constant of proportionality
Please help me with both questions thank you.
I have a Brainliest for math
Find the distance between the points (4, 2) and (-8, 7).
What is y-x=2x-2/3y in slope intercept form
If −5e^x^2 y=x and y(−5)=0, find y′(−5) by implicit differentiation
Ayuda porfavor.
esto es operaciones con los numeros reales.
necesito la respuesta con procedimiento
Item 19 You pay $40 each month for satellite TV, plus $3.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $57.50.
What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
Answer:
y = -2/5 x - 2
Step-by-step explanation:
2x + 5y = 10
5y = -2x + 10
y = -2/5 x + 2
so slope = -2/5
passes through the point (5, −4)
y = mx + b
b = y - mx
b = -4 - (-2/5)(5)
b = -4 + 2
b = -2
equation
y = -2/5 x - 2
Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5.
What is the value of x? 3x-3
The value of x in the given figure is 19.
What are Vertical angles?Vertical angles are the angles formed when two lines intersect each other. The opposite angles formed by these lines are called vertically opposite angles.
Given that, a figure, we need to find the value of x,
Here, angles, 3x-3 and [6(x-10)] are vertical angles,
We know that,
Vertical angles are equal in measures,
Therefore,
3x-3 = [6(x-10)]
3x-3 = 6x-60
3x = 57
x = 19
Hence, the value of x is 19.
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The complete question is attached
Use your properties of addition to find 37 + 58 mentally show your steps and identify the properties that you used
the equation y = 0.25x + 50 gives the cost y of renting a car if the car is driven x miles
According to the model, what is the best estimate of the cost for renting a car if you plan to drive 250 miles?
50$
62.50$
112.50$
300$
Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?
y = x - 3
y = x + 3
y = -x + 3
y = 3x + 1
Part A: Solve –vp + 40 < 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)
Answer:
A)[tex]v>-\frac{55}{p}[/tex]
B)[tex]r=\frac{8}{3}w-15[/tex]
Step-by-step explanation:
A)
The inequality is
–vp + 40 < 95
Subtract 40 to both sides
–vp < 95 - 40
-vp< 55
Now, divide both sides by -p. Whenever, we divide by a negative number inequality sign changes
[tex]v>\frac{55}{-p}\\\\
B)
The given equation is
[tex]8w-3r=45[/tex]
Subtract 8w to both sides
[tex]-3r=45-8w[/tex]
Divide both sides by -3
[tex]r=-15+\frac{8w}{3}\\\\r=\frac{8}{3}w-15[/tex]
Answer:
Step-by-step explanation:
Part A:
The inequality is–vp + 40 < 95.
Work:
We subtract 40 to both sides = –vp < 55. Now, we divide both sides by -p. = v > 55/-p
Part B: Inequality is 8w − 3r = 45.
Work:
We Subtract 8w to both sides = 3r = 45 - 8w. Now, we divide both sides by -3 = r = -15 + 8w and then r = 8/3w - 15.
Plot the line for the equation on the graph.
y−4=−14(x−5)
Answer: I just did the test and the correct answer was (9,3) 9 on the x axis and 3 on the y and (4,9) 4 on the x axis and 9 on the y
Step-by-step explanation:
What two consecutive odd integers have a sum of 48?
Drinks at the fair cost 2.50$ use an equation to represent the relationship between the numbers of drinks bought ad the cost define your variable and make a table to help write the equation
Answer:
[tex]C=2.5d[/tex]
Step-by-step explanation:
Your variable is always the number of drinks that you are going to drink, and the independent clause is the cost of the drink, which is $2.5.
Drinks Cost
1 2.5
2 5
3 7.5
4 10
5 12.5
SO now you know that the cos of 3 drinks is 7.5 and that can be escalated to any number that you want just by puttin the number of drinks that are going to be bought and multiply it by the cost.